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Finding the Fourth Proportional to 602.90, 904.48 and 542.42

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Solution

The fourth proportional to 602.90, 904.48 and 542.42 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.90 : 904.48 = 542.42 : x
  2. Step 2: Convert to fraction form
    602.90/904.48 = 542.42/x
  3. Step 3: Cross multiply
    602.90x = 904.48 × 542.42
  4. Step 4: Simplify right side
    602.90x = 490,608.04
  5. Step 5: Solve for x
    x = 490,608.04/602.90
  6. Step 6: Final answer
    x = 813.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.